Star products and branes in Poisson-Sigma models

Details Star products and branes in Poisson-Sigma models Star products and branes in Poisson-Sigma models

2005-07-06

arxiv.org/abs/hep-th/0507050v2

Commun.Math.Phys.268:607-620,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; Final version to appear in Commun. Math. Phys

Scientific paper

10.1007/s00220-006-0104-3

We prove that non-coisotropic branes in the Poisson-Sigma model are allowed
at the quantum level. When the brane is defined by second-class constraints,
the perturbative quantization of the model yields the Kontsevich's star product
associated to the Dirac bracket on the brane. We also discuss the quantization
when both first and second-class constraints are present.

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